la) If variable Y-Normal(μ, σ), then in a sample of n observations, Judge TF of the...
5. (worth 16 points) Consider a test of H : μ-65 versus Ha μ > 65. The test uses σ-10, α-01 size of n 64. and a sample a. Describe the sampling distribution of Fassuming Ho is true. Mean (t)- Standard deviation (oz)- Shape: Sketch the sampling distribution of x assuming Ho is true is used as the test stat istic. Locate the rejection region on your graph from b. Specify the rejection region when x part a. C. Describe...
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2. (25 points) Suppose that we have a sample of size n 64, we know the population standard deviation is σ 48, and we are considering a normally distributed population, we want to test the hypotheses: Ho : μ-200 Hi 200 We are going to use a z-test because σ is known. We will use a significance level of:-0.05. (a) What is the critica z value? In other words,...
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4. There is a 67% chance that X(mean)is above what value? (Type an integer or decimal rounded to two decimal places as needed.)
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4. What is the probability that X(mean) is above 106.6? (Type an integer or decimal rounded to four decimal places as needed.)
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4 what is the probability that X(mean) is less than 92? (Type an integer or decimal rounded to four decimal places as needed.)
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4, What is the probability that X(mean) is between 92 and 93.5? (Type an integer or decimal rounded to four decimal places as needed.)
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ. II. The distribution of sample means for sample size n will have a standard deviation of. III. The distribution of sample means will approach a normal distribution as n approaches infinity.
Given a normal distribution with μ = 27 and σ = 25. If a random sample of size n = 72 is drawn, find P(27 ≤ x ≤ 29). Round to three decimal places.
Consider the following random sample observations on stabilized viscosity of asphalt specimens. 2061 2099 1982 1842 2052 Suppose that for a particular application, it is required that true average viscosity be 2000. Is there evidence this requirement is not satisfied? From previous findings we know that the population standard deviation, σ State the appropriate hypotheses. (Use α-0.05.) 90.8 Ho: μ < 2000 Hai μ 2000 Ho: μ 2000 Ha: μ 2000 Ho: μ 2000 Hai μ-2000 Ho: μ > 2000...